In a modern printer, letters are built up by shooting tiny droplets of ink at th

Question

In a modern printer, letters are built up by shooting tiny droplets of ink at the paper. The pattern on the paper is controlled by a valve that determines whether ink is squirted onto the paper or not. The droplets have a radius of 17.0?m and leave the nozzle and travel toward the paper at a velocity of 25.0m/s . The drops are charged as they leave the nozzle with a positive charge q . The drops then pass between parallel deflecting plates of length 2.30cm where there is a uniform horizontal electric field with a magnitude of 8.35

Explanation / Answer

We first ned the mass...

m = density(volume)

m = 1000(4/3)(pi)(17 X 10-6)3

m = 2.06 X 10-11 kg

Then we can find the acceleration to move .280 mm

Find the time to move between the plates

d = vt

.023 = 25(t)

t = 9.2 X 10-4 sec

Then d = vot + .5at2

(.28 X 10-4) = (0) + .5(a)(9.2 X 10-4)2

a = 66.2 m/s2

Finally F = qE = ma

(q)(8.35 X 104) = (2.06 X 10-11)(66.2)

q = 1.63 X 10-14 C

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